, Volume 7, Issue 1, pp 219-226

Random projections of regular simplices

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Abstract

Precise asymptotic formulae are obtained for the expected number ofk-faces of the orthogonal projection of a regularn-simplex inn-space onto a randomly chosen isotropic subspace of fixed dimension or codimension, as the dimensionn tends to infinity.

F. Affentranger was supported by a grant from the Swiss National Foundation.